(- 1)"x"* 1 (n+1)! Consider the series n=D0 (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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O of 1
5(-1)°x"*1
(n+1)
Consider the series
(a) Find the series' radius and interval of convergence.
(b) For what values of x does the series converge absolutely?
(c) For what values of x does the series converge conditionally?
(a) Find the interval of convergence.
23
Transcribed Image Text:O of 1 5(-1)°x"*1 (n+1) Consider the series (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence. 23
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